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AP EAMCET201822 Apr 2018Evening ShiftPhysicsKinetic Theory of GasesActual

The absolute temperature at which the rms speed of a hydrogen molecule is equal to its escape speed from the moon's surface is (where, R is radius of moon is r, g is acceleration due to gravity on Moon's surface, m is mass of hydrogen molecules and k is Boltzmann constant)

Options

  1. Am g R 2 k
  2. B2 m g R k
  3. C3 m g R 2 k
  4. D2 m g R 3 k

Correct answer

D. 2 m g R 3 k

Step-by-step solution

aligned & v_ rms ( hydrogen )= 3 R T M = 3 k T m & and v_ escape ( moon )= 2 g R & v_ rms =v_ escape & 3 k T m =2 g R T= 2 m g R 3 k & aligned

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